Some applications of the Pascal matrix to the study of numerical methods for differential equations
Bollettino della Unione matematica italiana, Série 8, 8B (2005) no. 3, pp. 639-651
Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica
In this paper we introduce and analyze some relations between the Pascal matrix and a new class of numerical methods for differential equations obtained generalizing the Adams methods. In particular, we shall prove that these methods are suitable for solving stiff problems since their absolute stability regions contain the negative half complex plane.
@article{BUMI_2005_8_8B_3_a7,
author = {Aceto, Lidia},
title = {Some applications of the {Pascal} matrix to the study of numerical methods for differential equations},
journal = {Bollettino della Unione matematica italiana},
pages = {639--651},
publisher = {mathdoc},
volume = {Ser. 8, 8B},
number = {3},
year = {2005},
zbl = {1117.65118},
mrnumber = {MR2182421},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BUMI_2005_8_8B_3_a7/}
}
TY - JOUR AU - Aceto, Lidia TI - Some applications of the Pascal matrix to the study of numerical methods for differential equations JO - Bollettino della Unione matematica italiana PY - 2005 SP - 639 EP - 651 VL - 8B IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/BUMI_2005_8_8B_3_a7/ LA - en ID - BUMI_2005_8_8B_3_a7 ER -
%0 Journal Article %A Aceto, Lidia %T Some applications of the Pascal matrix to the study of numerical methods for differential equations %J Bollettino della Unione matematica italiana %D 2005 %P 639-651 %V 8B %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/BUMI_2005_8_8B_3_a7/ %G en %F BUMI_2005_8_8B_3_a7
Aceto, Lidia. Some applications of the Pascal matrix to the study of numerical methods for differential equations. Bollettino della Unione matematica italiana, Série 8, 8B (2005) no. 3, pp. 639-651. http://geodesic.mathdoc.fr/item/BUMI_2005_8_8B_3_a7/